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961841320044 = 2231123593534253
BaseRepresentation
bin11011111111100100011…
…01011101000001101100
310101221200101010122020020
431333302031131001230
5111224322334220134
62013510325322140
7126330216216153
oct15776215350154
93357611118206
10961841320044
11340a07393960
121364b2866350
136c916842987
14347a662a59a
151a04674ab49
hexdff235d06c

961841320044 has 96 divisors (see below), whose sum is σ = 2559085208064. Its totient is φ = 278323921920.

The previous prime is 961841320019. The next prime is 961841320051. The reversal of 961841320044 is 440023148169.

It is a junction number, because it is equal to n+sod(n) for n = 961841319978 and 961841320005.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1533222 + ... + 2067474.

It is an arithmetic number, because the mean of its divisors is an integer number (26657137584).

Almost surely, 2961841320044 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 961841320044, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1279542604032).

961841320044 is an abundant number, since it is smaller than the sum of its proper divisors (1597243888020).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

961841320044 is a wasteful number, since it uses less digits than its factorization.

961841320044 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 534887 (or 534885 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 42.

The spelling of 961841320044 in words is "nine hundred sixty-one billion, eight hundred forty-one million, three hundred twenty thousand, forty-four".

Divisors: 1 2 3 4 6 11 12 22 23 33 44 46 66 69 92 132 138 253 276 506 593 759 1012 1186 1518 1779 2372 3036 3558 6523 7116 13046 13639 19569 26092 27278 39138 40917 54556 78276 81834 150029 163668 300058 450087 534253 600116 900174 1068506 1602759 1800348 2137012 3205518 5876783 6411036 11753566 12287819 17630349 23507132 24575638 35260698 36863457 49151276 70521396 73726914 135166009 147453828 270332018 316812029 405498027 540664036 633624058 810996054 950436087 1267248116 1621992108 1900872174 3484932319 3801744348 6969864638 7286676667 10454796957 13939729276 14573353334 20909593914 21860030001 29146706668 41819187828 43720060002 80153443337 87440120004 160306886674 240460330011 320613773348 480920660022 961841320044